Scholarlink

<p>For the time-dependent and field uncertainties in continuum structures, this paper proposes a novel time-dependent non-probabilistic reliability-based topology optimization (TNRBTO) method based the spatial points control technology (SPCT) method, where field uncertainty is characterized by a bounded field model. To transform the time-dependent reliability problem into a static one, the predictable time- dependent uncertainty is converted into static time parameter, thereby establishing a TNRBTO model that simultaneously considers both parametric and field uncertainties. The TNRBTO model is a nested optimization problem, where the inner-loop optimization determines the worst-case time instant and field uncertainty realization, while the outer-loop optimization identifies the optimal structural topology configuration based on SPCT method—an approach that constructs field functions via spatial arrangement of control points to define structural topology. The optimization model is solved using the gradient-based method of moving asymptotes (MMA) algorithm. To validate the effectiveness of the proposed optimization approach, three numerical examples are presented, including a three-dimensional cantilever beam structure. Furthermore, a comparative analysis between the SPCT method and the material field series expansion (MFSE) topology optimization algorithm is conducted in the second example to demonstrate the advantages and limitations of the proposed methodology.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Time-dependent non-probabilistic reliability topology optimization considering the field uncertainty based on Spatial Points Control Technology (SPCT) method

  • 期刊论文

  • 发表日期：

    2026年2月14日

查看全文
  • Junjie Zhan,
  • Jiayi Chen,
  • Mingyue Wang,
  • Yuemei Fu,
  • Jian Xing

摘要

For the time-dependent and field uncertainties in continuum structures, this paper proposes a novel time-dependent non-probabilistic reliability-based topology optimization (TNRBTO) method based the spatial points control technology (SPCT) method, where field uncertainty is characterized by a bounded field model. To transform the time-dependent reliability problem into a static one, the predictable time- dependent uncertainty is converted into static time parameter, thereby establishing a TNRBTO model that simultaneously considers both parametric and field uncertainties. The TNRBTO model is a nested optimization problem, where the inner-loop optimization determines the worst-case time instant and field uncertainty realization, while the outer-loop optimization identifies the optimal structural topology configuration based on SPCT method—an approach that constructs field functions via spatial arrangement of control points to define structural topology. The optimization model is solved using the gradient-based method of moving asymptotes (MMA) algorithm. To validate the effectiveness of the proposed optimization approach, three numerical examples are presented, including a three-dimensional cantilever beam structure. Furthermore, a comparative analysis between the SPCT method and the material field series expansion (MFSE) topology optimization algorithm is conducted in the second example to demonstrate the advantages and limitations of the proposed methodology.